Kim and Tori must make a fair division of three objects. Using the adjusted winner procedure, what does Kim end up with? $$\begin{array} { l l l }
\text { Object } & \text { Kim's points } & \text { Tori's points } \
\text { Ring } & 20 & 35 \
\text { Necklace } & 70 & 45 \
\text { Bracelet } & 10 & 20
\end{array}$$
A) 20/23 of the necklace
B) 3/23 of the necklace
C) the necklace and 1/2 of the ring
D) the ring and the bracelet

Question

Kim and Tori must make a fair division of three objects. Using the adjusted winner procedure, what does Kim end up with? $$\begin{array} { l l l } 
\text { Object } & \text { Kim's points } & \text { Tori's points } \
\text { Ring } & 20 & 35 \
\text { Necklace } & 70 & 45 \
\text { Bracelet } & 10 & 20
\end{array}$$
A) 20/23 of the necklace
B) 3/23 of the necklace
C) the necklace and 1/2 of the ring
D) the ring and the bracelet

Quizplus · Accepted Answer

Kim and Tori assign points to the objects such that the total is 100. The adjusted winner procedure involves initially giving each object to the person who values it more. Kim gets the necklace (70 points) and Tori gets the ring (35 points) and the bracelet (20 points). To equalize the total points, Kim gives a portion of the necklace to Tori. The ratio of points for the necklace is 70:45, so Kim keeps 20/23 of the necklace.

Kim and Tori Must Make a Fair Division of Three